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Finding the Fourth Proportional to 3,899, 5,379.80 and 2,640.26

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Solution

The fourth proportional to 3,899, 5,379.80 and 2,640.26 is: 3,643.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899 : 5,379.80 = 2,640.26 : x
  2. Step 2: Convert to fraction form
    3,899/5,379.80 = 2,640.26/x
  3. Step 3: Cross multiply
    3,899x = 5,379.80 × 2,640.26
  4. Step 4: Simplify right side
    3,899x = 14,204,070.75
  5. Step 5: Solve for x
    x = 14,204,070.75/3,899
  6. Step 6: Final answer
    x = 3,643.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.